scholarly journals Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft

2016 ◽  
Vol 40 (2) ◽  
pp. 83-95
Author(s):  
Aleksandar Milašinović ◽  
Zdravko Milovanović ◽  
Darko Knežević ◽  
Indir Mujanić
Keyword(s):  
Differential Equations ◽  
Internal Combustion Engine ◽  
Combustion Engine ◽  
Equations Of Motion ◽  
Internal Combustion ◽  
Engine Crankshaft

Probabilistic Tolerance Allocation for the Dynamics of an Internal Combustion Engine With a Flexible Connecting Rod

1997 ◽  
Author(s):  
F. Zhang ◽  
B. J. Gilmore ◽  
A. Sinha
Keyword(s):  
Internal Combustion Engine ◽  
Combustion Engine ◽  
Equations Of Motion ◽  
Optimization Procedure ◽  
Internal Combustion ◽  
Tolerance Allocation ◽  
Radial Clearance ◽  
Connecting Rod ◽  
Link Length ◽  
Design Variables

Abstract Tolerance allocation standards do not exist for mechanical systems with flexibility and whose response are time varying, subjected to discontinuous forcing functions. Previous approaches based on optimization and numerical integration of the dynamic equations of motion encounter difficulty with determining sensitivities around the force discontinuity. The Alternating Frequency/Time approach is applied here to capture the effect of the discontinuity. The effective link length model is used to model the system and to account for the uncertainties in the link length, radial clearance and pin location. Since the effective link length model is applied, the equations of motion for the nominal system can be applied for the entire analysis. Optimization procedure is applied to the problem where the objective is to minimize the manufacturing costs and satisfy the constraints imposed on mechanical errors and design variables. Examples of tolerance allocation are presented for a single cylinder internal combustion engine with a flexible connecting rod.

Methods of Rotor-Unbalance Determination

1939 ◽  
Vol 6 (1) ◽  
pp. A1-A6
Author(s):  
J. G. Baker
Keyword(s):  
Mathematical Method ◽  
Internal Combustion Engine ◽  
Combustion Engine ◽  
Angular Position ◽  
Normal Operation ◽  
Axial Position ◽  
Rigid Rotor ◽  
Engine Crankshaft ◽  
Quick Determination

Abstract Rotor-unbalance determinations both in balancing machines and from vibration readings taken on the rotor during normal operation have in some cases been rather complicated and often subject to considerable error. This paper suggests methods intended to improve balancing methods in these cases. In part I a more or less conventional method of calculating unbalance corrections from vibration readings is reviewed and the limitations and errors pointed out. Next, an extension of the method is developed which is in some cases simpler and inherently more accurate. In part II a mathematical method is developed for determining unbalance corrections in cases where the locations of the corrections are completely prescribed in contradistinction to the ordinary case in which the axial position of the correction is prescribed but the angular position is to be determined. Also, a balancing machine is described which reads directly the unbalance corrections required at four preselected locations in a rigid rotor. This balancing machine is especially suited for the quick determination of unbalance corrections required in an internal-combustion-engine crankshaft. In part III center-of-percussion balancing is described which is a method of taking vibration readings which can be interpreted directly in terms of unbalance. This method is applicable only under certain conditions which are noted.

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